http://www.ck12.org Chapter 6. Polygons and Quadrilaterals
6.8 Quadrilateral Classification
Here you’ll learn how to classify quadrilaterals in the coordinate plane.
What if you were given a quadrilateral in the coordinate plane? How could you determine if that quadrilateral
qualifies as one of the special quadrilaterals: parallelograms, squares, rectangles, rhombuses, kites, or trapezoids?
After completing this Concept, you’ll be able to make such a determination.
Watch This
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter6QuadrilateralClassificationA
MEDIA
Click image to the left for more content.Ten Marks: Parallelograms ina Coordinate Plane
MEDIA
Click image to the left for more content.Ten Marks: KitesandTrapezoids
Guidance
When working in the coordinate plane, you will sometimes want to know what type of shape a given shape is. You
should easily be able to tell that it is a quadrilateral if it has four sides. But how can you classify it beyond that?
First you should graph the shape if it has not already been graphed. Look at it and see if it looks like any special
quadrilateral. Do the sides appear to be congruent? Do they meet at right angles? This will give you a place to start.
Once you have a guess for what type of quadrilateral it is, your job is to prove your guess. To prove that a quadrilateral
is a parallelogram, rectangle, rhombus, square, kite or trapezoid, you must show that it meets the definition of that
shape OR that it has properties that only that shape has.